Question

The coordinate plane is separated into four quadrants as shown.



Let p: x < 0
Let q: y < 0

What is represented by p ∨ q?

quadrant 1 because both x and y are positive coordinates
quadrant 3 because both x and y are negative coordinates
quadrants 1, 2, and 4 because in these quadrants x, y, or both are positive coordinates
quadrants 2, 3, and 4 because in these quadrants x, y, or both are negative coordinates

Answer 1

Quadrants 2, 3, and 4 — because p ∨ q is true when x < 0 or y < 0 (or both), which holds in quadrants II (x<0), III (x<0 and y<0), and IV (y<0).